Answer
a) x-intercepts: $-3,3$
y-intercepts: $-1,2$
b) y-axis
Work Step by Step
a) we can visually see that the curve hits the x-axis at $-3$ and $3$, and hits the y-axis at $-1$ and $2$.
b) The area to the left of the y-axis is similar to the area to the right, so the function is symmetric about the y-axis